arXiv subjects

R. Hernandez Heredero

Publications and source records attributed to R. Hernandez Heredero.

3 recordsLinked to original sources

arXiv2023

High order multiscale analysis of discrete integrable equations

In this article we present the results obtained applying the multiple scale expansion up to the order $\varepsilon^6$ to a dispersive multilinear class of equations on a square lattice depending on 13 parameters. We show that the integrability conditions given by the multiple scale expansion give rise to 4 nonlinear equations, 3 of which are new, depending at most on 2 parameters and containing integrable sub cases. Moreover at least one sub case provides an example of a new integrable system.

nlin.SI↗

arXiv2010

A discrete linearizability test based on multiscale analysis

In this paper we consider the classification of dispersive linearizable partial difference equations defined on a quad-graph by the multiple scale reduction around their harmonic solution. We show that the A_1, A_2 and A_3 linearizability conditions restrain the number of the parameters which enter into the equation. A subclass of the equations which pass the A_3 C-integrability conditions can be linearized by a Mobius transformation.

nlin.SI↗

arXiv2003

A new class of linearizable equations

Using the symmetry approach, we find a class of integrable nonlinear PDEs with dispersion law $ω(k)=k^{\frac32}$. All these equations turn out to be linearizable by means of a differential parametrization.

nlin.SI↗